Generalized MICZ-Kepler problems and unitary highest weight modules, II
نویسندگان
چکیده
منابع مشابه
Generalized Micz - Kepler Problems and Unitary Highest Weight
For each integer n ≥ 2, we demonstrate that a 2n-dimensional generalized MICZ-Kepler problem with magmatic charge μ = 0 or 1/2 has an Spin(2, 2n+ 1) dynamical symmetry which extends the manifest Spin(2n) symmetry. The Hilbert space of bound states is shown to form a unitary highest weight Spin(2, 2n+1)-module which occurs at the first reduction point in the Enright-Howe-Wallach classification d...
متن کاملLaplace transform and unitary highest weight modules
The unitarizable modules in the analytic continuation of the holomorphic discrete series for tube type domains are realized as Hilbert spaces obtained through the Laplace transform.
متن کاملar X iv : 0 70 4 . 29 36 v 2 [ m at h - ph ] 2 4 Ju l 2 00 7 GENERALIZED MICZ - KEPLER PROBLEMS AND UNITARY HIGHEST WEIGHT MODULES – II
For each integer n ≥ 2, we demonstrate that a 2n-dimensional generalized MICZ-Kepler problem has an g Spin(2, 2n+1) dynamical symmetry which extends the manifest Spin(2n) symmetry. The Hilbert space of bound states is shown to form a unitary highest weight g Spin(2, 2n+1)-module which occurs at the first reduction point in the Enright-Howe-Wallach classification diagram for the unitary highest ...
متن کاملar X iv : 0 70 4 . 29 36 v 3 [ m at h - ph ] 9 A ug 2 00 7 GENERALIZED MICZ - KEPLER PROBLEMS AND UNITARY HIGHEST WEIGHT MODULES – II
For each integer n ≥ 2, we demonstrate that a 2n-dimensional generalized MICZ-Kepler problem has an g Spin(2, 2n+1) dynamical symmetry which extends the manifest Spin(2n) symmetry. The Hilbert space of bound states is shown to form a unitary highest weight g Spin(2, 2n+1)-module which occurs at the first reduction point in the Enright-Howe-Wallach classification diagram for the unitary highest ...
متن کاملMICZ-Kepler problems in all dimensions
The Kepler problem is a physical problem about two bodies which attract each other by a force proportional to the inverse square of the distance. The MICZ-Kepler problems are its natural cousins and have been previously generalized from dimension three to dimension five. In this paper, we construct and analyze the (quantum) MICZ-Kepler problems in all dimensions higher than two.
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ژورنال
عنوان ژورنال: Journal of the London Mathematical Society
سال: 2010
ISSN: 0024-6107
DOI: 10.1112/jlms/jdq019